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A001207 Number of fixed hexagonal polyominoes with n cells.
(Formerly M2897 N1162)
+0
5
1, 3, 11, 44, 186, 814, 3652, 16689, 77359, 362671, 1716033, 8182213, 39267086, 189492795, 918837374, 4474080844, 21866153748, 107217298977, 527266673134, 2599804551168, 12849503756579, 63646233127758, 315876691291677, 1570540515980274, 7821755377244303, 39014584984477092, 194880246951838595, 974725768600891269, 4881251640514912341, 24472502362094874818, 122826412768568196148, 617080993446201431307, 3103152024451536273288, 15618892303340118758816, 78679501136505611375745 (list; graph; listen)
OFFSET

1,2

COMMENT

The Voege-Guttmann paper extends the series to n=35. - Markus Voege (markus.voege(AT)inria.fr), Mar 25 2004

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

W. F. Lunnon, Counting hexagonal and triangular polyominoes, pp. 87-100 of R. C. Read, editor, Graph Theory and Computing. Academic Press, NY, 1972.

D. H. Redelmeier, personal communication.

Mertens, Stephan; Lautenbacher, Markus E.; Counting lattice animals: a parallel attack. J. Statist. Phys. 66 (1992), no. 1-2, 669-678.

Markus Voege and Anthony J. Guttmann, On the number of hexagonal polyominoes, Theoretical Computer Sciences, 307(2) (2003), 433-453.

LINKS

Markus Voege and Anthony J. Guttmann, On the number of hexagonal polyominoes

Moa Apagodu, Counting hexagonal lattice animals.

CROSSREFS

Sequence in context: A167013 A121220 A068091 this_sequence A026887 A151106 A151107

Adjacent sequences: A001204 A001205 A001206 this_sequence A001208 A001209 A001210

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

3 more terms and reference from Achim Flammenkamp (achim(AT)uni-bielefeld.de) Feb 15 1999.

More terms from Markus Voege (markus.voege(AT)inria.fr), Mar 25 2004

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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